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Finding the Fourth Proportional to 4,273.03, 6,411.30 and 1,932.40

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Solution

The fourth proportional to 4,273.03, 6,411.30 and 1,932.40 is: 2,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.03 : 6,411.30 = 1,932.40 : x
  2. Step 2: Convert to fraction form
    4,273.03/6,411.30 = 1,932.40/x
  3. Step 3: Cross multiply
    4,273.03x = 6,411.30 × 1,932.40
  4. Step 4: Simplify right side
    4,273.03x = 12,389,196.12
  5. Step 5: Solve for x
    x = 12,389,196.12/4,273.03
  6. Step 6: Final answer
    x = 2,899.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.